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Doubly nonlocal Fisher–KPP equation: Speeds and uniqueness of traveling waves
,
Yuri Kondratiev,
Pasha Tkachov
Journal of Mathematical Analysis and Applications, Volume: 475, Issue: 1, Pages: 94 - 122
Swansea University Author:
Dmitri Finkelshtein
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DOI (Published version): 10.1016/j.jmaa.2019.02.010
Abstract
We study traveling waves for a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions. We describe relations between speeds and asymptotic of profiles of traveling waves, and prove the uniqueness of the profiles up to...
| Published in: | Journal of Mathematical Analysis and Applications |
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| ISSN: | 0022-247X |
| Published: |
Elsevier BV
2019
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa48668 |
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| Abstract: |
We study traveling waves for a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions. We describe relations between speeds and asymptotic of profiles of traveling waves, and prove the uniqueness of the profiles up to shifts. |
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| Keywords: |
nonlocal diffusion, reaction-diffusion equation, Fisher-KPP equation, traveling waves, minimal speed, nonlocal nonlinearity |
| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
94 |
| End Page: |
122 |